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Let n be a positive integer. If a = 414n + 12 , what is the remainder when a is divided by 9?

 May 6, 2022
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Notice that 414 is a multiple of 9. This means that the remainder isn't dependent on the value of n. 

 

The only other thing that can change the remainder is 12. 

 

This means that the remainder of \(414n+12\) will always be the same as 12. 

 

Can you take it from here?

 May 6, 2022

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